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Phantasy [73]
3 years ago
8

BRAINLIEST FOR BEST ANSWER

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

Option C is correct

The coordinate of C' or the transformed point of C is (-6, 5)

Step-by-step explanation:

From the given graph:

In triangle ABC:

Coordinate of C is:

C(-3, 4)

The rule of transformation is given:

(x, y) \rightarrow (x-3, y+1)

We have to find the coordinate of C'.

Apply the transformation on coordinate C:

C(-3, 4) \rightarrow C'(-3-3, 4+1) = C'(-6, 5)

Therefore, the coordinate of C' is (-6, 5)


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Answer:

option B

Step-by-step explanation:

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Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5
lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

  • 0
  • 1
  •  4
  • 5
  • 0
  • 1.5sin(3t)
  • 1
  •  2.5

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt \left[\begin{array}{ccc}u&\\v&\\\end{array}\right]= \left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]  \left[\begin{array}{ccc}u&\\v&\\\end{array}\right] + \left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]  = \left[\begin{array}{ccc}1\\2.5\\\end{array}\right]

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